Abstract

By considering correlations between fluctuating quantities at four points in a turbulent fluid, an equation containing quadruple and quintuple correlations is obtained. The equation is made determinate by neglecting the higher‐order (quintuple) correlations. The combining of this equation with the two‐and three‐point correlation equations, and assuming a particular set of initial conditions, result in a solution which appears to represent the turbulence for times between the initial and final periods. The results reproduce most of the trends observed experimentally.